11142046981800 has 576 divisors, whose sum is σ = 44018302648320. Its totient is φ = 2472924142080.

The previous prime is 11142046981789. The next prime is 11142046981903. The reversal of 11142046981800 is 818964024111.

11142046981800 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 2 + 0 + 469 + 8 + 180 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75135327 + ... + 75283473.

It is an arithmetic number, because the mean of its divisors is an integer number (76420664320).

Almost surely, 2^{11142046981800} is an apocalyptic number.

11142046981800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11142046981800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22009151324160).

11142046981800 is an abundant number, since it is smaller than the sum of its proper divisors (32876255666520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11142046981800 is a wasteful number, since it uses less digits than its factorization.

11142046981800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148350 (or 148338 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11142046981800 in words is "eleven trillion, one hundred forty-two billion, forty-six million, nine hundred eighty-one thousand, eight hundred".